Abstract
Input-to-state stability (ISS) of a feedback interconnection of two discrete-time ISS systems satisfying an appropriate small gain condition is investigated via the Lyapunov method. In particular, an ISS Lyapunov function for the overall system is constructed from the ISS Lyapunov functions of the two subsystems. We consider parameterized families of discrete-time systems that naturally arise when an approximate discrete-time model is used to design a controller for a sampled-data system.
Original language | English |
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Pages | 2292-2297 |
DOIs | |
Publication status | Published - 10 Mar 2003 |
Event | IEEE Conference on Decision and Control - Nevada, Las Vegas, United States Duration: 10 Dec 2002 → 13 Dec 2002 |
Conference
Conference | IEEE Conference on Decision and Control |
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Country/Territory | United States |
City | Las Vegas |
Period | 10/12/02 → 13/12/02 |
Bibliographical note
The full text is not available on the repository.Keywords
- Lyapunov method
- Nonlinear control systems
- Feedback
- Robust stability
- Discrete time systems
- Stability analysis
- Robust control
- Control system analysis
- Control systems
- Interconnected systems
- feedback
- nonlinear control systems
- discrete time systems
- interconnected systems
- stability
- Lyapunov methods
- discrete-time systems
- sampled-data system
- input-to-state stability
- small gain condition
- feedback interconnection